Base | Representation |
---|---|
bin | 1000010011101110… |
… | …1010010000100100 |
3 | 12202102120112021220 |
4 | 2010323222100210 |
5 | 14031414411400 |
6 | 1005145340340 |
7 | 106160442255 |
oct | 20473522044 |
9 | 5672515256 |
10 | 2230232100 |
11 | a449a9428 |
12 | 522a976b0 |
13 | 297088185 |
14 | 1722aab2c |
15 | d0bde7a0 |
hex | 84eea424 |
2230232100 has 72 divisors (see below), whose sum is σ = 6494042688. Its totient is φ = 590928000.
The previous prime is 2230232087. The next prime is 2230232107. The reversal of 2230232100 is 12320322.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 2230232100.
It is not an unprimeable number, because it can be changed into a prime (2230232107) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23425 + ... + 70775.
Almost surely, 22230232100 is an apocalyptic number.
2230232100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2230232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3247021344).
2230232100 is an abundant number, since it is smaller than the sum of its proper divisors (4263810588).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230232100 is a wasteful number, since it uses less digits than its factorization.
2230232100 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47525 (or 47518 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 15.
The square root of 2230232100 is about 47225.3332439275. Note that the first 3 decimals coincide. The cubic root of 2230232100 is about 1306.5218809391.
Adding to 2230232100 its reverse (12320322), we get a palindrome (2242552422).
The spelling of 2230232100 in words is "two billion, two hundred thirty million, two hundred thirty-two thousand, one hundred".
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